This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

    He traced the ownership of individual copies through the hands of saints, heretics, scalawags, and bibliomaniacs. He was called as the expert witness in the theft of one copy, witnessed the dramatic auction of another, and proves conclusively that "De revolutionibus" was as inspirational as it was revolutionary. Part biography of a book, part scientific exploration, part bibliographic detective story, "The Book Nobody Read" recolors the history of cosmology and offers new appreciation of the enduring power of an extraordinary book and its ideas.

    Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack ofadvanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicatedwith the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

    It reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    Turn to any page, and you'll find essential point-of-care guidance on all the major conditions seen in clinical medicine. Completely updated to reflect all the major advances and new clinical developments, the new edition of the Manual is the most indispensable yet. It continues to focus on diagnosis and therapy with an emphasis on patient care and offers authoritative, high-yield coverage of: Etiology and epidemiology Clinically relevant pathophysiology Signs & Symptoms o Differential Diagnosis Physical and Laboratory Findings Therapeutics o Practice GuidelinesNEW FEATURESFull-color presentation for the first time!Full-color images of clinical conditions encountered in dermatology, cardiology, and eye diseases New chapters on end-of-life care, congenital heart disease in the adult patient, non-invasive cardiac examination, and metabolic syndromeLook for these other great Harrison's titles:Harrison's Principles of Internal Medicine, 17eHarrison's Online available through Accessmedicine.com

    A. Foley, Antiquity), The Human Career has proved to be an indispensable tool in teaching human origins since its publication in 1989. This substantially revised edition retains Richard Klein's innovative approach and incorporates new findings from the past decade.The Human Career chronicles the evolution of people from the earliest primates through the emergence of fully modern humans within the past 200,000 years. Its comprehensive treatment stresses recent advances in knowledge, including, for example, ever more abundant evidence that fully modern humans originated in Africa and spread from there, replacing the Neanderthals in Europe and equally archaic people in Asia. With its coverage of both the fossil record and the archeological record over the 2.5 million years for which both are available, Klein emphasizes that human morphology and behavior evolved together. Throughout the text, Klein presents evidence for alternative points of view, but also does not hesitate to take a position.In addition to outlining the broad pattern of human evolution, The Human Career details the kinds of data that support this pattern, including information on archeological sites, artifacts, fossils, and methods for establishing dates in geological time. With abundant references and hundreds of illustrations, charts, and diagrams, this new edition is unparalleled in its usefulness for teaching human evolution.

    He has selected a group of diversions which are not only entertaining but mathematically meaningful as well. The result is a work which is rewarding on almost every level of mathematical achievement."—Miriam Hecht, Iscripta Mathematica

    . . science fact or science fiction?"An entertaining and informative guide to comic book wonders bound to come."—Julius Schwartz, Editor Emeritus, DC ComicsSuperman, Batman, The X-Men, Flash, Spider Man . . . they protect us from evildoers, defend truth and justice, and, occasionally, save our planet from certain doom. Yet, how much do we understand about their powers?In this engaging yet serious work, Lois Gresh and Robert Weinberg attempt to answer that question once and for all. From X-ray vision to psychokinesis, invisibility to lightspeed locomotion, they take a hard, scientific look at the powers possessed by all of our most revered superheroes, and a few of the lesser ones, in an attempt to sort fact from fantasy. In the process, they unearth some shocking truths that will unsettle, alarm, and even terrify all but the most fiendish of supervillains.Lois Gresh (Rochester, NY) has written eight novels and nonfiction books as well as dozens of short stories and has been nominated for national fiction awards six times.Robert Weinberg (Oak Forest, IL) is a multiple award-winning author of novels, nonfiction books, short stories and comics.

    Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.

    Deconstructionists, poststructuralists, postmodernists, second-wave feminists, new historicists, cultural materialists, postcolonialists, black critics and queer theorists, among a host of others, all vie for our attention. Stuart Sim and Borin Van Loon's incisive graphic guide provides a route through the tangled jungle of competing ideas and provides an essential historical context, situating these theories within tradition of critical analysis going back to the rise of Marxism. They present the essential methods and objectives of each theoretical school in an incisive and accessible manner, and pay special attention to recurrent themes and concerns that have preoccupied a century of critical theoretical activity.

    And this language is mathematics." In The Language of Mathematics, award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life—patterns that exist in the physical, biological, and social worlds without, and the realm of ideas and thoughts within.Taking the reader on a wondrous journey through the invisible universe that surrounds us—a universe made visible by mathematics—Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers—all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. An exploration of an often woefully misunderstood subject, The Language of Mathematics celebrates the simplicity, the precision, the purity, and the elegance of mathematics.

    The Rough Guide to Portugal guides you around the fashionable cities of Lisbon and Porto, takes you hiking in the hills of central and northern Portugal, and covers every beach along the Algarve, making it the ideal companion whether you're on a city break, beach holiday, or cross-country. The guide unearths the best sights, hotels, restaurants, and nightlife across every price range — from backpacker hostels to beachfront villas and boutique hotels. You'll find specialist coverage of Portuguese history, art, and literature and detailed information on the best markets and shopping for each region. The locally-based Rough Guide author team introduces the best vineyards, country taverns, and fado clubs and provides reliable insider tips, whether you're driving Portugal's roadways or shopping for linen and lace.Explore all corners of Portugal with authoritative background on everything from Porto's architecture to surfing at Peniche, and rely on handy language tips and the clearest maps of any guide. Make the most of your holiday with The Rough Guide to Portugal.

    Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

    These include tipping points, the sociological term used to describe moments when unique or rare phenomena become more commonplace; the wisdom of crowds, the argument that certain types of groups harness information and make decisions in more effective ways than individuals; six degrees of separation, the idea that it takes no more than six steps to find some form of connection between two random individuals; and emergence, the idea that new properties, processes, and structures can emerge unexpectedly from complex systems.